Volume 8, Issue 2
Two Parameter Iteration Methods for Coupled Sylvester Matrix Equations

East Asian J. Appl. Math., 8 (2018), pp. 336-351.

Published online: 2018-05

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• Abstract

We consider two parameter iteration methods for the coupled Sylvester matrix equations $$AX+YB=E$$ $$CX+YD=F.$$ Having established the convergence of the algorithms, we discuss the choice of optimal parameters. Numerical examples show the efficiency of the methods.

• Keywords

Coupled Sylvester matrix equation, parameter iteration method, accelerating algorithm, convergence analysis.

65F10, 15A24

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@Article{EAJAM-8-336, author = {}, title = {Two Parameter Iteration Methods for Coupled Sylvester Matrix Equations}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {8}, number = {2}, pages = {336--351}, abstract = {

We consider two parameter iteration methods for the coupled Sylvester matrix equations $$AX+YB=E$$ $$CX+YD=F.$$ Having established the convergence of the algorithms, we discuss the choice of optimal parameters. Numerical examples show the efficiency of the methods.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.181117.250118b}, url = {http://global-sci.org/intro/article_detail/eajam/12209.html} }
TY - JOUR T1 - Two Parameter Iteration Methods for Coupled Sylvester Matrix Equations JO - East Asian Journal on Applied Mathematics VL - 2 SP - 336 EP - 351 PY - 2018 DA - 2018/05 SN - 8 DO - http://doi.org/10.4208/eajam.181117.250118b UR - https://global-sci.org/intro/article_detail/eajam/12209.html KW - Coupled Sylvester matrix equation, parameter iteration method, accelerating algorithm, convergence analysis. AB -

We consider two parameter iteration methods for the coupled Sylvester matrix equations $$AX+YB=E$$ $$CX+YD=F.$$ Having established the convergence of the algorithms, we discuss the choice of optimal parameters. Numerical examples show the efficiency of the methods.

Changqing Lv & Changfeng Ma. (2020). Two Parameter Iteration Methods for Coupled Sylvester Matrix Equations. East Asian Journal on Applied Mathematics. 8 (2). 336-351. doi:10.4208/eajam.181117.250118b
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